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On the convergence of conditional gradient method for unbounded multiobjective optimization problems

Optimization and Control 2024-03-06 v1

Abstract

This paper focuses on developing a conditional gradient algorithm for multiobjective optimization problems with an unbounded feasible region. We employ the concept of recession cone to establish the well-defined nature of the algorithm. The asymptotic convergence property and the iteration-complexity bound are established under mild assumptions. Numerical examples are provided to verify the algorithmic performance.

Keywords

Cite

@article{arxiv.2403.02671,
  title  = {On the convergence of conditional gradient method for unbounded multiobjective optimization problems},
  author = {Wang Chen and Yong Zhao and Liping Tang and Xinmin Yang},
  journal= {arXiv preprint arXiv:2403.02671},
  year   = {2024}
}
R2 v1 2026-06-28T15:09:21.646Z